US5840406A - Retroreflective prism structure with windows formed thereon - Google Patents
Retroreflective prism structure with windows formed thereon Download PDFInfo
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- US5840406A US5840406A US08/702,245 US70224596A US5840406A US 5840406 A US5840406 A US 5840406A US 70224596 A US70224596 A US 70224596A US 5840406 A US5840406 A US 5840406A
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Classifications
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/12—Reflex reflectors
- G02B5/122—Reflex reflectors cube corner, trihedral or triple reflector type
- G02B5/124—Reflex reflectors cube corner, trihedral or triple reflector type plural reflecting elements forming part of a unitary plate or sheet
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
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- Y10T428/24355—Continuous and nonuniform or irregular surface on layer or component [e.g., roofing, etc.]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T428/00—Stock material or miscellaneous articles
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- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
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Definitions
- FIG. 15 of the Jungersen patent illustrates in plan view a sheet of reflective prisms which reflect light at an angle other than perpendicular to the reflector.
- the Hoopman patent discloses cube-corner retroreflective articles in which the optical axis of the elements in an array of prism element pairs are tilted toward one edge of the elements, when considered from the front surface of the article on which light to be retroreflected images.
- This tilt direction is herein defined as "positive” type tilt; as contrasted to the tilt direction shown in FIG. 15 of the Jungersen patent in which the optical axis of prism pairs tilts away from the common edge.
- Walter, U.S. Pat. No. 5,171,624 discloses microprism reflective sheeting in which prism pairs are tilted with respect to one another at an angle of 3°-10°, a prism size of 0.006-0.025 (space between apices) and wherein at least one prism side surface is arcuate.
- Benson U.S. Pat. No. 5,122,902 discloses retroreflective cube-corner elements with separation surfaces between elements and truncated cube-corner elements.
- cube corner retroreflective articles having wide observation angle performance, uniform orientation angle performance and wide angularity in multiple viewing planes, superior whiteness properties and truer color are provided by an array of retroreflective prism elements wherein pairs of such elements are tilted in a negative direction with respect to one another and wherein windows are formed in one of the prisms of some of the prism pairs adjacent the intersection between prism pairs.
- the prism elements are corner cubes formed of three lateral mutually perpendicular planar faces defined at their bases by linear edges which do not necessarily lie in a common plane.
- the windows are formed by casting the elements on a mold in which a section of the prism element mold is removed.
- Removing a section of one of the prism mold elements creates a smaller prism element which produces increased observation angle performance.
- Good observation angle performance is especially important for retroreflecting objects viewed by trucks or airplanes where the source of light is spaced a further distance from the driver than an automobile. Such improved performance is also important for automobile drivers when the driver is very close to the retroreflecting object.
- FIG. 1 is a plan view of a portion of the retroreflective sheeting of the invention.
- FIG. 2 is a side-view of a portion of the top surface of the sheeting of FIG. 1 taken along lines I--I.
- FIG. 3 is a side-view of a portion of the top surface of the sheeting of FIG. 1 taken along lines II--II.
- FIG. 4 is a side-view of a portion of the top surface of the sheeting of FIG. 1 taken along lines III--III.
- FIG. 5 is an enlarged side view of a master mold for an array of prisms illustrating how the small prisms 10C and faces 10F of FIG. 1 are formed.
- FIG. 6 is an enlarged plan view of a single pair 10C/10B of prism elements of the invention.
- FIG. 7 is a side-view of the prism elements of FIG. 6 taken along lines VI--VI.
- FIG. 8 is a plan view of an alternate embodiment.
- FIG. 9 is a side view of FIG. 8 taken along lines VIII--VIII.
- FIG. 10 is a plan view of a further embodiment of the sheeting of the invention.
- FIG. 11A is a plot of the intensity of light reflected from 0.0055 inch prism size, 3° negative tilt prism, with air backed reflector sheeting formed with no windows taken at an observation angle of 0.330°.
- FIG. 11B is a plot as in FIG. 11A taken at the same observation angle with metallized sheeting.
- FIG. 11C is a plot as in FIG. 11A with the addition of windows in accordance with the present invention.
- FIG. 11D is a plot as in FIG. 11B with the addition of windows in accordance with the embodiment depicted in FIG. 14 of the present invention.
- FIG. 12A is a plot as in FIG. 11A for relatively smaller 0.004 inch size prisms with 3° negative tilt and no windows at 0.50° observation angle.
- FIG. 12B is a plot as in FIG. 12A at the same observation angle with metallization.
- FIG. 12C is a plot as in FIG. 12A with windows.
- FIG. 12D is a plot as in FIG. 12B with windows and metallization in accordance with the prism embodiment of FIG. 16.
- FIG. 13 is a dimensional perspective view of a prism 10B formed in accordance with the invention.
- FIG. 14 is a dimensional view of the prism of FIG. 13 modified in accordance with the invention to form a 0.0041 inch smaller prism 50 with flats 10F on all three sides thereof.
- FIG. 15 is a dimensional perspective of another prism embodiment.
- FIG. 16 illustrates the prism 10B' of FIG. 15 modified to form a 0.0016 size prism 50' with flats 10F' on all sides.
- FIGS. 1-7 an ultra thin flexible sheeting 100 of the invention is shown.
- sheeting refers to relatively thin sheet-like structures as well as thicker members, laminates and the like, which have a substantially planar front face upon which light rays impinge and which have a body portion which is essentially transparent to the light rays.
- the article 100 is generally comprised of a dense array of micro sized cube corner elements 10 arranged in pairs 10A, 10B as described in co-pending U.S. patent application Ser. No. 08/314,462 filed concurrently herewith (Attorney Docket No. RFX-281).
- the optical axes 17 (the trisector of a internal angle defined by the prism faces 11, 12, 13) of the elements are tilted away from one another (negative tilt).
- the angle of tilt ⁇ (FIG. 7) is preferably more than 1.0 degree and less than about 7.0 degrees with respect to a perpendicular 19 extending from the near common plane 16 in which the base edges of the cube corner approximate.
- the cube corner base width W1, W2, or W3 of the base is formed on a common plane in which the base edges of the cube corner faces 11, 12 & 13 lie, and the width or size dimension is greater than 0.0005 inches and preferably less than 0.006 inches but may extend beyond 0.006 inches to about 0.025.
- Optimally W1-W3 are about 0.004 inches.
- the materials used to manufacture flexible articles 100 have indices of refraction which are preferably from 1.4 to 1.7.
- the thickness of the cube corner prism material is preferably a minimum of 0.0002 inches thick and a maximum of 0.004 inches thick.
- the total thickness of the articles is determined by the protective and bonding layers (shown in the referenced co-pending application) used to manufacture the finished article.
- the groove angles ⁇ and ⁇ are preferably about 64.5° and 73.4° respectively.
- FIGS. 1 and 6 where it may be seen that certain of the prisms 10C in a pair have at least one face 13C which is foreshortened with respect to an opposing face 13 of a prism pair. This is accomplished, as shown in the side view (FIG. 5) of a mold 110 used to make the sheeting 100 of FIG. 1.
- the mold structure 110 is created by first ruling or flycutting a master from suitable material, such as, brass or copper, in three directions spaced about 56° and 62°) from one another (with the above-referenced groove angles to achieve a 3° tilt) to form three sets of grooves 22, 23, 24 as shown in the partial view of FIG. 5. Then, in a secondary ruling or flycutting operation a section A of every prism in a groove is removed along line B'--B' down to line 21 without changing the corner cubes on either side of the corner cube which is cut.
- suitable material such as, brass or copper
- the area removed in the second pass creates a flat area 10F (See FIG. 6) and a smaller corner cube 5 retroreflector 10C when the sheeting 100 is molded.
- the cut that produces face 13C forms a corner cube structure 10C which has two faces (11 and 12) which are larger than face 13C.
- the corner cube structure 10C created with modified face 13C has an effective aperture that is slightly skewed because the line widths W 3 and W 2 are smaller by ⁇ W3 and ⁇ W2 than the original width of the prisms corner cubes, made in the first pass.
- the window 10F which is created is not located in the base plane 16 of the corner cube 10C (See FIG. 7). That is, it is not bounded by the base edges of the lateral faces of the corner cube elements.
- FIG. 8 Another example of removing the area on one face of a row of prisms is shown in the plan view of FIG. 8 and side view of FIG. 9.
- the windows 10F are formed in the base plane 16 and the corner cubes formed have one face F1 or three faces F1-F3 modified by the second cutting pass.
- Corner cube 50 has all faces modified creating a smaller corner cube.
- Corner cube 52 has only one face modified creating a corner cube which has a skewed effective aperture.
- the second pass ruling or flycutting shown by dotted line B'--B' in FIG. 5 and B--B in FIG. 9 can be implemented or configured in many ways. Some examples are shown in FIGS. 1 and 10.
- the grooves which are modified determine the number of new full smaller corner cubes 50 created; the number of corner cubes with one face modified 52; with two faces modified 54; all faces modified 50 and the direction of the corner cubes face.
- FIG. 10 In the example of FIG. 10:
- the retroreflecting area can be made to have any number of windows as desired and therefore can be adjusted to provide the desired back lighting (as described below).
- the area of the corner cubes that is removed in the second pass, as well as the size of the corner cubes created in the first pass, can be defined to optimize window size and the retroreflected light distribution produced by the different size corner cubes which are formed.
- the windows 10F also have the effect of allowing adjustment of the "cap Y" or whiteness values of non-metallized and metallized retroreflections.
- the microprism sheeting 100 is conveniently formed by casting prisms upon a film surface functioning as the body, or by embossing a preformed sheeting, or by casting both body and prisms concurrently.
- the resins employed for such cast microprism sheeting are cross-linkable thermoplastic formulations, and desirably these resins provide flexibility, light stability, and good weathering characteristics.
- the front face of the retroreflective sheeting may be provided with a protective coating such as by application of a lacquer or other coating material.
- suitable resins for the retroreflective sheeting include vinyl chloride polymers, polyesters, polycarbonates, methyl methacrylate polymers, polyurethanes and acrylated urethanes.
- a relatively thick carrier may be temporarily bonded thereto, and it will generally have a thickness of 0.001-0.004 inch.
- the adhesive used to effect the temporary bonding therebetween-and which preferentially adheres to the carrier is conveniently a silicone adhesive applied to a thickness of about 0.00025-0.0005 inch.
- the adhesive When ultraviolet curing of the resin in the prisms is employed, the adhesive must be transparent to the light rays.
- various resins may be employed for such a carrier, polyesters, and particularly polyethylene terephthalate, are desirably employed because of their toughness and relative resistance to processing conditions.
- the carrier should be transparent to the ultraviolet radiation used to effect curing.
- the surface of the carrier may be treated to enhance the preferential adhesion of the adhesive to the surface of the carrier.
- the reflective interface for the prisms may be provided by a reflective coating or by an air interface.
- a reflective coating is provided upon the surfaces of at least some of the microprisms, and such reflective coatings have most commonly been vacuum metallized aluminum or other specular metal deposits, although metallic lacquers and other specular coating materials have also been used.
- a colored coating material may be provided over some of the prisms to provide a daytime coloration.
- a material may be a colored lacquer applied to the surface of the sheeting, a colored adhesive, or any other colored deposit which will coat the prism surfaces.
- a colored adhesive is employed since this will enable bonding of the backing material thereto.
- retroreflective material utilizing some prisms which have reflective air interfaces and others which utilize a reflective coating offers some advantages and is described in detail in Martin U.S. Pat. No. 4,801,193 granted Jan. 31, 1989. If so desired, retroreflective sheeting may be produced by applying the backing material to a partially metallized materials so as to maintain the air interface in the uncoated areas.
- a colored coating may be applied over the entire area of a partially metallized surface so that it directly coats the unmetallized prisms. Thereafter, the backing material is applied.
- a colored adhesive is applied in a pattern to the prism surface and to a depth greater than the height of the prisms. When the backing element is laminated thereto, it is spaced from the prisms by the adhesive and this provides an air interface about the uncoated prisms.
- the backing material may be any suitable material. For flexibility, it is a woven or laid fabric, or a flexible, durable polymeric material. Suitable resins include polyethylene, polypropylene, polyurethanes, acrylated polyurethanes and ethylene/vinyl acetate copolymers. Polyester and urethane fabrics may be employed as well as those of natural fibers such as cotton. Flame retardants may be incorporated in the adhesives as well as in the fabric or resin backing to impart flame retardance to the retroreflective material.
- metals may be used to provide a specular metal deposit including silver, rhodium, copper, tin, zinc, and palladium
- the preferred and most economical processes utilize aluminum vacuum deposition.
- Other deposition techniques include electroless plating, electroplating, ion deposition and sputter coating.
- the step of adhering the backing to the retroreflective sheeting may simply involve passing the adhesively coated retroreflective sheeting through the nip of a pair of rolls together with the backing material to apply the necessary pressure to effect adhesion. If a heat activatable adhesive is employed, the retroreflective sheeting may be subjected to preheating prior to passage through the rolls, or the rolls may be heated to achieve the necessary activation. However, it is also practicable to employ ultrasonic welding and other techniques to bond the backing material to the retroreflective sheeting by the material of the backing material itself when it is thermoplastic.
- a dye may be incorporated in the resin used to form the body member, and even the prisms.
- the colorations may be provided as a finely divided pigment which is well dispersed; however, some loss in retroreflectivity will occur as the result of refraction by pigment particles which are directly in the path of light rays.
- this angle denotes the inclination of the object.
- observation angle angle between the illumination axis and the observation axis.
- orientation angle angle indicating orientation after rotation about the retroreflector axis.
- FIGS. 11A-D and FIGS. 12A-D Polar plots of the light intensity, in cd/lux/m 2 , plotted at various observation angles of retroreflectors made in accordance with the invention are shown in FIGS. 11A-D and FIGS. 12A-D.
- FIGS. 11A and 11B and 12A and 12B are plots for 0.0055 inch and 0.004 inch prisms, respectively, without windows at respective observation angles of 0.33° and 0.50°.
- FIGS. 11C and 11D and 12C and 12D are similar plots for 0.0055 inch and 0.004 inch prism size retroreflectors with windows. The improvement in the observation angle performance at a 0.33 degree observation angle is clearly seen by comparing FIG. 11B and FIG. 11D as the cube corner size is decreased by the addition of windows.
- FIG. 11B and FIG. 11D Polar plots of the light intensity, in cd/lux/m 2 , plotted at various observation angles of retroreflectors made in accordance with
- FIG. 11D shows the improvement at 0.33° observation angle for the prism configuration of FIG. 14 and FIG. 12D shows the improvement at 0.50° degrees, obtained by the embodiment of FIG. 16.
- Tables I and II which follow, compare the brightness in cd/lux/m 2 of 0.0055 inch prisms with 3° negative tilt and metal backing.
- Table I no windows have been added.
- Table II the same tooling that was used to make the sheeting in Table I was used, but windows 10F were formed in accordance with the invention shown in FIGS. 10 anid 14.
- the plus signs opposite certain data in Table II show where an increase in brightness occurred over the sample in Table I as a result of the smaller 0.004 prisms created when the windows were formed.
- Tables III and V show even better results for 0.0014-0.0016 size prisms of FIG. 16 formed in a first cut.
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Abstract
Description
______________________________________ 8 out of 70 corner cubes are untouched 11.4% 40 out of 70 corner cubes, one face is changed 57.1% 10 out of 70 corner cubes, two faces are changed 14.3% 12 out of 70 corner cubes, three faces are changed 17.2% 100% ______________________________________
TABLE I __________________________________________________________________________ Observation Orientation Angle Angle Entrance Angle 0 15 30 45 60 75 90 105 120 135 150 165 __________________________________________________________________________ 0.10 5 2309.00 2305.00 2286.00 2279.00 2278.00 2270.00 2267.00 2312.00 2326.00 2333.00 2329.00 2319.00 10 2166.00 2155.00 2148.00 2141.00 2157.00 2161.00 2183.00 2208.00 2223.00 2223.00 2214.00 2188.00 20 1654.00 1654.00 1657.00 1671.00 1703.00 1743.00 1780.00 1793.00 1791.00 1780.00 1754.00 1719.00 30 1083.00 1085.00 1049.00 1053.00 1094.00 1145.00 1172.00 1180.00 1153.00 1135.00 1138.00 1135.00 40 585.00 551.50 509.70 502.20 521.80 553.60 583.00 577.00 549.10 536.10 562.60 604.20 45 397.00 360.40 308.80 303.50 317.40 340.70 362.70 357.40 331.40 318.10 348.50 400.00 50 246.90 213.90 155.30 152.90 165.90 179.80 192.40 188.10 169.40 157.20 160.30 241.30 60 93.11 72.46 29.51 26.08 39.04 40.65 39.17 42.36 37.94 25.74 43.60 83.06 0.20 5 1409.00 1375.00 1307.00 1299.00 1288.00 1290.00 1319.00 1358.00 1402.00 1427.00 1423.00 1408.00 10 1359.00 1327.00 1294.00 1262.00 1250.00 1261.00 1289.00 1334.00 1374.00 1391.00 1378.00 1345.00 20 1125.00 1118.00 1108.00 1094.00 1097.00 1113.00 1140.00 1179.00 1205.00 1205.00 1168.00 1114.00 30 754.50 767.80 787.80 788.60 798.40 830.80 853.60 881.60 678.90 867.20 837.20 778.20 40 414.80 411.90 416.50 420.50 426.60 450.10 480.10 482.10 462.50 456.40 454.90 439.00 45 292.60 278.60 262.80 264.20 269.10 299.60 313.50 310.60 299.10 281.90 295.00 305.90 50 189.90 171.50 138.20 137.90 146.20 158.50 173.70 170.60 151.90 143.70 159.80 192.20 60 80.70 63.58 27.71 24.72 36.19 37.67 37.41 40.11 25.26 24.52 41.52 73.37 0.33 5 389.90 357.50 325.60 303.70 294.00 302.20 324.40 357.10 291.00 409.20 408.90 393.20 10 419.70 384.60 346.60 318.80 312.50 318.60 335.30 369.10 403.70 416.60 412.80 398.60 20 453.70 432.50 401.80 377.40 374.00 367.80 370.40 417.00 456.70 450.30 421.10 403.00 30 353.10 365.10 393.50 400.50 400.00 398.60 399.00 446.60 474.40 454.60 396.70 333.50 40 187.80 204.30 246.50 266.40 263.90 272.20 308.80 324.70 323.80 316.00 275.20 200.20 45 137.00 147.40 172.70 184.80 182.10 193.90 213.20 217.20 205.60 202.90 186.20 150.70 50 101.80 103.00 105.60 109.70 111.40 121.30 136.90 135.70 120.20 117.60 119.00 110.10 60 57.55 47.09 24.36 21.76 33.39 32.17 33.56 35.21 30.03 21.99 36.28 53.83 0.50 5 50.17 50.25 47.86 47.95 56.51 80.81 100.50 97.25 78.85 84.34 59.76 56.64 10 59.27 52.05 42.18 42.29 55.60 73.68 87.89 65.24 71.46 56.81 55.88 64.74 20 116.50 83.98 41.74 37.37 52.03 54.02 51.56 59.55 64.80 50.70 53.44 92.81 30 150.00 112.40 74.45 87.73 105.60 90.89 67.06 100.70 133.20 101.00 75.55 107.70 40 80.67 78.46 69.98 120.20 133.30 123.30 109.90 141.80 165.50 140.00 87.60 69.23 45 43.39 52.35 60.06 102.60 106.60 106.00 106.10 123.40 130.00 118.60 78.84 45.44 50 28.18 36.49 60.00 70.08 70.50 74.98 64.09 87.55 81.51 80.74 62.62 33.45 60 27.94 25.38 18.75 16.77 21.22 23.13 26.66 26.77 21.43 17.71 26.90 27.36 1.00 5 38.98 24.34 19.63 21.00 30.07 34.62 36.22 38.21 38.79 21.18 22.17 32.98 10 47.53 25.67 19.67 24.54 37.37 40.57 37.38 40.16 37.63 24.56 21.58 36.00 20 58.15 35.44 21.28 33.31 38.29 43.74 37.06 47.64 39.59 35.60 22.68 39.16 30 21.92 18.47 23.09 34.16 32.91 35.81 35.15 47.26 38.43 36.77 21.26 16.40 40 40.77 23.46 12.03 11.12 12.22 10.75 15.79 13.96 15.11 11.60 15.40 20.07 45 30.04 20.53 7.93 12.27 28.41 17.54 8.19 16.55 33.64 12.17 11.45 18.13 50 12.91 11.90 6.08 14.07 31.62 22.88 8.00 19.72 36.86 17.44 6.91 11.13 60 1.89 3.60 4.66 5.52 6.02 6.82 7.56 7.92 6.96 8.16 5.88 1.94 1.50 5 36.31 10.34 8.72 10.29 24.52 18.39 12.53 18.37 30.81 11.74 8.57 15.90 10 34.68 9.69 8.54 10.58 27.41 16.87 12.69 17.05 32.06 11.81 8.27 13.46 20 24.45 9.93 9.41 8.55 20.73 10.94 11.79 13.17 26.16 11.58 9.49 10.60 30 27.63 12.27 8.53 8.31 10.78 11.53 9.50 13.40 12.26 10.92 10.53 12.64 40 12.94 9.07 5.67 8.55 15.27 13.44 4.91 13.99 16.91 9.15 7.78 9.00 45 18.24 6.82 6.23 3.74 3.52 5.08 3.82 6.29 4.43 4.79 7.06 8.25 50 9.04 4.56 5.81 3.27 10.33 4.81 4.49 4.04 11.75 3.66 5.30 5.14 60 1.48 4.88 2.92 3.47 5.65 4.87 2.88 3.71 6.50 4.77 3.66 1.74 2.00 5 17.14 5.94 5.69 5.70 10.60 9.93 6.30 11.08 13.10 6.10 5.11 7.61 10 16.37 4.90 4.54 5.60 10.77 7.97 4.88 9.77 13.22 5.74 3.99 6.01 20 16.09 5.31 3.23 4.73 12.30 6.84 4.69 8.21 15.39 5.77 3.55 5.60 30 12.05 6.24 3.54 4.12 9.74 4.48 5.29 5.71 12.17 4.70 4.64 5.65 40 7.20 4.01 4.47 2.09 6.60 4.88 4.20 3.70 6.53 2.68 5.07 3.62 45 7.78 2.55 4.62 2.60 8.18 5.20 4.18 4.80 9.24 2.63 4.85 2.28 50 6.60 2.65 4.22 1.48 2.19 2.80 2.50 3.20 2.85 1.87 5.38 2.27 60 1.23 4.72 2.83 1.87 4.74 2.88 2.87 1.73 5.37 2.17 2.64 1.12 __________________________________________________________________________
TABLE II - Orientation Angle Observation Angle Entrance Angle 0 15 30 45 60 75 90 105 120 135 150 165 0.10 5 - 2097.00 - 2089.00 - 2074.00 2046.00 - 2014.00 - 1999.00 - 1982.00 - 1989.00 - 2003.00 - 2021.00 - 2044.00 - 2051.00 10 - 1964.00 - 1956.00 - 1939.00 - 1911.00 - 1882.00 - 1860.00 - 1850.00 - 1856.00 - 1872.00 - 1879.00 - 1890.00 - 1889.00 20 - 1450.00 - 1452.00 - 1444.00 - 1430.00 - 1412.00 - 1398.00 - 1318.00 - 1387.00 - 1391.00 - 1396.00 - 1391.00 - 1374.00 30 - 855.90 - 856.30 - 859.90 - 858.30 - 859.30 - 863.70 - 863.00 - 845.60 - 827.90 - 818.00 - 819.80 - 811.80 40 - 414.50 - 409.60 - 399.30 - 393.00 - 401.00 - 421.00 - 423.70 - 405.70 - 375.60 - 361.70 - 377.70 - 397.00 45 - 270.60 - 263.10 - 245.70 - 239.50 - 251.10 - 265.50 - 268.30 - 252.30 - 227.80 - 215.10 - 231.40 - 259.30 50 - 171.20 - 158.10 - 137.40 - 131.60 - 140.00 - 150.00 - 151.20 - 140.00 - 123.40 - 113.30 - 125.90 - 155.90 60 - 65.23 - 56.89 + 30.63 + 27.20 - 34.99 - 36.93 - 34.45 - 34.03 - 30.15 - 21.82 - 27.57 - 53.64 0.20 5 - 1363.00 - 1339.00 - 1293.00 1230.00 - 1172.00 - 1135.00 - 1127.00 - 1152.00 - 1196.00 - 1243.00 - 1289.00 - 1315.00 10 - 1301.00 - 1279.00 - 1233.00 - 1179.00 - 1131.00 - 1097.00 - 1093.00 - 1116.00 - 1159.00 - 1197.00 - 1221.00 - 1230.00 20 - 1032.00 - 1022.00 - 1001.00 - 977.70 - 955.50 - 935.70 - 932.10 - 948.60 - 975.40 - 987.00 - 979.50 - 962.10 30 - 664.70 - 662.70 - 664.80 - 659.70 - 658.50 - 662.30 - 662.80 - 657.00 - 650.60 - 647.20 - 644.30 - 625.80 40 - 338.10 - 338.70 - 340.60 - 335.90 - 343.80 - 358.00 - 360.40 - 345.50 - 320.10 - 311.40 - 324.10 - 327.50 45 - 221.40 - 218.20 - 213.30 - 210.00 - 218.10 - 231.30 - 234.00 - 219.20 - 197.00 - 188.30 - 204.50 - 218.40 50 - 144.00 - 135.20 - 124.50 - 121.40 - 127.90 - 138.00 - 140.20 - 129.20 - 112.80 - 104.80 - 115.70 - 136.00 60 - 58.84 - 52.58 + 28.78 - 26.20 - 33.24 - 35.30 - 33.39 - 32.72 - 28.59 - 20.92 - 26.53 - 49.69 0.33 5 + 507.60 + 483.20 + 431.90 + 372.20 + 328.70 + 310.00 - 315.00 - 332.70 - 364.10 - 407.10 + 454.10 + 485.30 10 + 525.80 + 493.90 + 433.80 + 381.70 + 345.80 + 327.30 - 330.70 - 351.20 - 385.20 + 422.30 + 457.40 + 487.50 20 + 528.30 + 494.60 + 435.30 - 402.90 + 392.40 + 379.10 + 374.00 - 396.90 - 428.70 - 442.10 + 452.00 + 471.50 30 + 411.80 + 396.60 - 373.30 + 361.80 - 372.00 - 370.60 - 364.60 - 375.90 - 387.20 - 384.10 - 381.50 + 471.80 40 + 224.60 + 227.80 + 237.00 - 234.90 - 242.50 - 254.10 - 254.00 - 247.80 - 233.60 - 230.50 - 235.10 + 222.90 45 + 147.60 + 150.20 - 159.40 - 160.80 - 166.50 - 178.30 - 180.70 - 170.00 - 153.90 - 150.80 - 157.50 + 153.00 50 - 97.87 - 95.22 - 97.57 - 99.15 - 103.30 - 113.10 - 116.30 - 106.50 - 92.52 - 88.46 - 95.76 - 100.90 60 - 46.30 - 44.01 + 24.89 + 23.59 - 29.19 - 31.47 - 30.70 - 29.65 - 25.20 - 18.97 - 24.10 - 41.58 0.50 5 + 145.30 + 132.30 + 104.20 + 71.82 + 67.58 + 93.09 + 116.70 + 111.10 + 87.69 + 85.07 + 116.30 + 143.00 10 + 151.20 + 132.30 + 99.96 + 70.62 + 66.26 + 86.15 + 104.30 + 101.70 + 84.56 + 83.47 + 116.60 + 147.70 20 + 196.20 + 161.10 + 106.70 + 79.43 + 78.32 + 83.77 + 85.91 + 94.06 + 96.43 + 97.58 + 126.80 + 171.90 30 + 215.80 + 177.90 + 124.50 + 111.70 + 127.50 + 125.10 + 111.80 + 129.70 + 145.70 + 139.60 + 145.70 + 172.50 40 + 130.30 + 123.00 + 113.70 - 116.60 - 130.90 + 134.70 + 122.50 - 132.00 - 136.00 - 132.10 + 125.50 + 118.80 45 + 82.16 + 83.60 + 89.17 - 95.88 - 104.70 + 111.20 - 106.00 - 106.40 - 102.30 - 100.90 + 97.07 + 86.19 50 + 50.94 + 52.56 + 60.81 - 66.84 + 70.79 + 78.50 - 79.08 - 74.26 - 65.69 - 65.20 + 65.89 + 58.88 60 + 28.78 + 30.75 - 18.57 + 18.78 + 22.29 + 24.97 - 25.65 - 24.00 - 19.49 - 15.63 - 19.71 + 29.19 1.00 5 + 76.00 + 32.23 + 23.44 - 18.89 - 33.83 - 23.78 - 27.55 - 29.42 + 38.89 - 23.17 - 23.41 + 33.35 10 + 71.70 + 33.27 - 19.17 - 18.84 - 34.75 - 23.68 - 24.03 - 27.92 + 39.63 - 22.62 - 20.82 - 32.99 20 + 61.60 + 37.57 - 14.29 - 20.14 - 33.07 - 26.00 - 20.76 - 26.87 + 41.24 - 25.59 - 18.41 - 33.27 30 + 41.55 + 27.52 - 15.28 - 21.45 + 33.51 - 29.51 - 23.82 - 28.16 + 38.91 - 25.53 - 19.09 + 28.28 40 + 55.62 + 31.41 - 11.93 - 14.25 + 20.66 + 19.08 - 10.13 + 15.05 + 21.19 + 21.05 + 16.84 + 27.20 45 + 39.98 + 24.86 + 11.41 + 15.28 + 28.44 + 23.06 + 8.92 - 18.02 - 29.91 + 25.55 + 16.11 + 19.16 50 + 16.87 + 14.35 + 11.13 + 15.38 - 27.90 + 24.30 + 11.74 - 18.64 - 28.10 + 24.94 + 15.08 - 10.88 60 + 4.00 + 22.31 + 6.15 + 6.85 + 7.94 + 9.80 + 9.91 + 8.88 + 7.27 - 8.03 + 8.07 + 6.88 1.50 5 - 22.51 - 10.10 + 11.51 - 7.19 - 13.33 - 12.54 - 11.54 - 13.40 - 15.64 - 8.46 + 12.51 - 9.88 10 - 23.27 - 9.31 + 10.91 - 7.52 - 12.59 - 11.70 - 10.69 - 12.42 - 14.96 - 8.45 + 11.47 - 9.49 20 + 25.02 + 10.08 - 9.00 - 7.75 - 12.72 - 8.81 - 10.19 - 10.14 - 15.70 - 8.03 + 9.63 - 9.91 30 - 26.90 - 8.15 - 5.42 - 5.82 + 12.62 - 7.09 - 7.13 - 6.31 + 15.24 - 5.94 - 6.80 - 6.98 40 + 14.52 - 5.18 + 6.02 - 5.05 - 12.32 - 7.90 + 6.06 - 6.61 - 13.84 - 6.15 - 6.85 - 5.58 45 + 21.01 - 6.79 + 6.31 + 4.56 + 7.36 + 6.09 + 5.05 - 4.95 + 7.24 + 6.10 + 7.54 - 6.78 50 + 13.25 + 6.46 - 5.30 + 5.69 + 11.67 + 8.19 + 3.51 + 5.04 + 12.14 + 8.41 + 6.59 + 6.14 60 + 2.13 + 39.30 + 3.25 + 3.67 + 5.95 + 5.61 + 3.14 - 3.48 - 5.37 + 5.70 + 3.71 + 3.12 2.00 5 - 12.04 - 3.69 - 3.87 - 2.91 - 7.02 - 5.25 - 6.00 - 5.36 - 7.89 - 3.17 - 4.21 - 3.51 10 - 11.38 - 3.33 - 3.34 - 3.11 - 7.07 - 4.87 + 5.04 - 4.83 - 7.94 - 3.22 - 3.71 - 3.46 20 - 12.58 - 4.46 - 2.50 - 3.08 - 6.05 - 4.26 - 3.25 - 4.35 - 8.05 - 3.60 - 2.98 - 5.18 30 - 14.15 - 4.19 - 2.60 4.12 - 6.41 - 3.48 - 3.71 - 4.31 - 8.40 - 4.53 - 2.74 - 4.08 40 - 6.88 - 2.75 - 1.98 + 2.41 + 6.61 - 2.80 - 1.92 - 2.25 + 8.99 - 2.07 - 1.85 - 2.83 45 + 9.59 - 2.52 - 2.14 - 2.11 - 6.81 - 3.00 - 2.08 - 2.44 - 7.59 - 2.10 - 2.24 + 2.77 50 + 9.49 - 2.04 - 2.88 + 1.80 + 3.55 - 2.14 + 2.54 - 1.76 + 3.53 + 2.24 - 3.32 - 2.02 60 + 1.36 + 50.40 - 2.02 + 2.67 + 5.06 + 3.66 - 2.01 - 2.01 - 4.78 + 3.58 - 2.35 + 3.31 + = Area where gain occurred
TABLE III __________________________________________________________________________ All values have units of cd/lux/m' Observation Orientation Angle Angle Entrance Angle(β1) 0 15 30 45 60 75 90 105 120 135 150 165 __________________________________________________________________________ 1.10 5 2536.00 2538.00 2527.00 2498.00 2469.00 2439.00 2418.00 2407.00 2411.00 2435.00 2457.00 2485.00 10 2400.00 2400.00 2388.00 2375.00 2333.00 2308.00 2275.00 2251.00 2247.00 2263.00 2282.00 2312.00 20 1862.00 1853.00 1851.00 1851.00 1831.00 1791.00 1748.00 1715.00 1688.00 1702.00 1712.00 1735.00 30 1181.00 1159.00 1146.00 1149.00 1141.00 1106.00 1057.00 1039.00 1022.00 1028.00 1058.00 1101.00 40 603.30 584.80 561.40 539.20 525.50 518.70 505.80 484.80 463.20 483.60 519.00 555.70 45 400.60 384.40 354.30 327.20 318.00 320.20 313.20 297.90 278.00 292.10 327.30 362.10 50 251.10 232.40 204.50 178.50 172.30 179.60 181.50 167.60 153.70 158.30 185.30 214.10 60 90.98 96.81 47.51 33.20 36.75 40.39 39.38 38.97 35.26 29.55 42.24 72.55 0.20 5 1836.00 1837.00 1801.00 1752.00 1690.00 1627.00 1582.00 1573.00 1605.00 1663.00 1743.00 1809.00 10 1746.00 1737.00 1724.00 1696.00 1641.00 1576.00 1516.00 1493.00 1520.00 1573.00 1639.00 1715.00 20 1381.00 1378.00 1390.00 1415.00 1406.00 1333.00 1256.00 1230.00 1239.00 1267.00 1306.00 1366.00 30 907.40 901.70 922.20 960.40 965.60 914.20 854.70 835.40 834.50 848.60 872.80 906.30 40 482.80 474.50 484.10 487.20 478.60 468.90 448.20 427.90 410.40 432.50 458.10 475.00 45 323.40 315.10 309.30 299.40 293.00 293.40 285.00 269.20 250.80 266.80 296.30 312.70 50 207.20 197.40 184.20 168.40 163.50 169.80 172.00 157.40 143.70 150.20 172.00 188.70 60 83.32 91.09 44.66 32.46 35.79 39.51 38.67 38.10 34.25 29.08 40.95 69.41 0.33 5 836.80 823.10 776.30 716.90 652.30 587.10 551.40 551.20 587.30 652.90 734.50 819.10 10 817.70 802.10 763.90 740.00 689.20 610.00 550.40 552.40 598.40 656.10 726.10 819.50 20 734.60 708.50 697.80 748.70 755.30 652.50 557.90 563.60 616.90 645.10 675.70 761.90 30 540.60 526.40 553.70 633.70 663.30 586.20 506.20 509.20 534.30 550.60 545.10 572.20 40 293.70 299.40 340.10 381.10 389.70 366.40 336.20 320.40 313.90 336.50 336.80 325.90 45 200.10 206.00 231.80 249.30 249.10 245.00 231.90 217.30 204.40 222.10 229.40 217.50 50 135.60 135.10 144.40 147.00 144.30 148.70 149.20 134.70 122.80 131.20 141.70 138.10 60 66.25 79.21 38.47 30.38 33.21 36.80 36.51 35.45 31.37 27.26 37.01 60.94 0.50 5 158.50 142.20 109.40 96.41 111.30 132.10 140.40 125.70 103.30 90.86 96.83 124.30 10 197.30 164.90 119.30 114.40 123.20 119.90 113.90 110.30 111.70 108.60 108.40 142.00 20 279.50 218.00 l55.50 188.00 213.70 142.80 98.49 124.90 174.20 175.10 152.60 206.10 30 269.20 218.00 190.30 266.60 321.30 227.50 158.90 195.80 246.20 244.60 191.90 226.00 40 142.50 138.50 162.80 228.30 263.10 223.00 179.00 181.40 196.80 206.00 169.20 156.20 45 88.43 95.80 127.80 171.70 185.70 171.40 149.20 143.00 142.50 154.70 133.30 11l.00 50 57.93 63.43 87.18 110.90 114.10 114.40 110.40 99.03 91.62 100.50 92.51 72.97 60 40.98 60.49 28.04 26.28 28.26 31.73 32.03 30.32 26.00 23.66 29.35 46.82 1.00 5 68.52 57.74 35.22 20.09 29.29 33.05 28.39 24.87 30.07 26.56 37.65 77.89 10 63.86 59.27 34.79 30.23 41.97 48.04 32.15 29.84 36.74 33.58 39.80 84.78 20 36.52 43.92 27.91 38.85 73.34 77.59 44.49 44.51 52.44 32.94 39.42 65.45 30 46.55 30.41 19.92 21.75 32.49 39.46 28.45 21.50 17.36 14.33 28.36 38.55 40 72.31 41.15 13.31 25.61 62.55 25.44 8.09 22.24 47.18 31.18 11.86 33.85 45 44.48 31.01 11.57 31.31 73.86 38.10 11.30 31.32 56.56 38.62 8.64 26.41 50 15.69 15.36 9.55 28.92 57.34 39.87 20.20 29.98 43.91 36.07 7.96 13.29 60 2.88 38.42 4.79 11.45 13.38 15.23 14.34 13.11 10.98 11.91 7.06 24.33 1.50 5 29.57 9.36 9.35 8.93 10.21 9.78 7.78 11.54 10.19 10.24 8.43 12.43 10 35.19 10.34 10.19 9.14 11.52 9.46 8.23 9.22 9.16 9.77 9.29 14.75 20 28.03 13.92 7.92 5.68 10.40 8.20 9.49 7.00 8.56 5.84 8.22 16.34 30 17.22 12.07 7.69 8.39 30.60 15.03 6.28 14.41 28.25 11.53 7.82 12.70 40 26.01 8.40 7.31 7.16 6.95 8.31 6.89 5.40 4.91 4.54 7.98 6.13 45 28.67 9.31 7.50 7.44 18.27 5.56 4.22 5.06 14.65 5.16 8.88 5.81 50 12.79 7.34 6.47 8.23 30.81 12.16 4.57 9.37 24.94 10.04 7.34 4.69 60 1.38 45.78 2.48 3.86 8.52 7.66 3.45 5.32 7.21 6.30 11.47 32.71 2.00 5 19.56 4.80 3.06 3.40 6.19 3.83 3.68 4.43 5.62 3.61 3.51 5.98 10 19.88 4.39 3.48 4.07 8.50 3.98 2.93 4.14 6.40 3.78 3.46 5.68 20 19.05 4.91 4.03 3.51 6.07 3.49 3.54 3.37 4.80 3.25 3.75 6.03 30 17.14 4.43 3.87 2.64 5.89 3.33 4.32 3.40 5.34 2.71 4.18 5.43 40 5.74 3.48 4.04 2.76 14.86 6.56 2.27 4.85 12.35 4.02 3.83 3.25 45 15.68 3.36 4.46 2.73 3.17 3.54 2.08 2.53 2.56 2.76 3.02 3.54 50 10.74 2.86 4.30 3.99 10.10 2.35 2.99 2.24 9.06 2.08 3.37 2.35 60 0.96 44.65 2.58 2.66 7.63 4.70 1.41 2.93 6.85 3.44 2.35 29.96 __________________________________________________________________________
TABLE IV - All values have units of cd/lux/m' Observation Orientation Angle Angle Entrance Angle(β1) 0 15 30 45 60 75 90 105 120 135 150 165 0.10 5 1209.00 1204.00 1196.00 1186.00 1173.00 1160.00 1158.00 1158.00 1166.00 1177.00 1195.00 1203.00 10 1141.00 1132.00 1121.00 1114.00 1107.00 1098.00 1094.00 1097.00 1104.00 1121.00 1134.00 1143.00 20 868.30 867.00 862.40 865.40 864.20 858.20 850.20 857.30 873.40 883.91 890.10 895.80 30 561.10 553.40 537.00 535.10 539.30 532.80 516.70 532.80 553.50 563.60 556.40 562.10 40 284.50 273.10 257.60 257.70 255.60 246.60 239.50 246.20 266.30 274.80 269.10 273.50 45 184.00 171.80 157.70 156.50 155.60 148.40 145.40 150.10 161.40 169.20 164.10 169.80 50 110.70 102.20 89.76 88.25 87.51 83.98 85.02 85.55 89.93 95.38 92.87 100.20 60 38.46 33.86 21.53 17.83 18.97 19.86 19.50 19.85 19.75 18.63 20.59 81.92 + 0.20 5 874.70 876.40 854.50 824.00 790.80 763.90 748.30 751.70 770.90 800.00 827.10 853.80 10 841.50 831.90 811.20 785.90 759.50 734.40 720.10 725.90 749.90 772.70 794.30 812.80 20 675.00 669.60 647.10 644.50 642.50 619.60 598.40 614.80 650.10 661.50 649.90 654.10 30 458.60 446.60 428.10 436.70 447.50 430.70 406.20 428.70 465.60 469.50 441.00 431.10 40 240.30 229.20 218.40 227.60 230.40 218.70 210.60 218.30 243.20 249.80 230.90 224.10 45 156.10 146.00 137.50 142.40 143.90 136.20 133.20 137.80 151.50 157.80 146.10 144.70 50 95.25 88.01 79.84 82.24 82.67 78.96 80.15 80.58 85.19 90.91 85.42 88.51 60 35.51 31.41 20.06 17.19 18.39 19.30 19.11 19.41 19.22 18.27 19.95 76.54 + 0.33 5 424.90 427.20 402.40 372.90 345.10 328.70 322.40 329.00 338.80 346.80 363.70 394.20 10 434.70 426.90 392.80 373.20 355.90 330.70 316.30 326.30 351.20 356.50 356.80 387.80 20 417.80 398.00 348.50 354.90 369.50 329.60 295.30 317.80 370.50 366.90 326.80 349.91 30 320.60 300.10 263.60 288.20 313.10 282.10 247.70 271.20 326.50 320.50 263.60 262.70 40 171.90 161.80 151.70 171.10 184.20 169.10 158.10 165.90 196.20 198.30 162.60 150.50 45 113.70 105.60 102.50 115.20 122.60 113.00 109.30 114.00 130.40 134.30 112.10 104.00 50 69.95 64.69 61.95 69.72 72.68 68.80 70.16 70.37 76.12 81.05 70.44 66.92 60 29.24 26.93 17.11 15.75 17.03 17.89 18.05 18.29 18.02 17.31 18.02 67.67 + 0.50 5 142.30 148.80 + 144.90 + 139.90 + 152.50 + 193.90 + 231.60 + 222.00 + 179.10 + 142.70 + 127.40 + 134.80 + 10 162.30 159.00 146.60 + 145.80 + 150.00 + 175.30 + 209.00 + 199.80 + 168.10 + 142.70 + 129.20 + 146.20 + 20 204.00 181.50 144.30 156.20 164.70 150.00 + 158.80 + 157.90 + 165.30 152.80 130.00 161.50 + 30 204.70 171.10 125.70 150.60 179.30 144.10 + 124.90 134.91 181.50 165.00 120.90 145.40 40 119.00 105.10 85.81 105.50 131.20 109.70 96.82 103.30 139.30 132.10 91.65 92.34 45 75.60 68.02 62.12 77.38 93.77 80.79 75.07 79.22 100.80 98.10 69.50 64.41 50 43.14 40.26 39.78 50.78 58.25 53.33 53.82 53.93 62.06 64.39 48.16 42.24 60 20.29 22.19 12.70 13.19 14.57 15.31 15.97 16.03 15.60 15.34 14.68 56.87 1.00 5 48.14 42.68 29.64 34.56 + 58.37 + 38.34 + 33.12 + 36.11 + 50.32 + 44.39 + 25.35 31.85 10 68.70 56.58 29.04 40.83 + 54.14 + 44.42 30.54 39.15 + 45.78 + 41.84 + 26.85 40.31 20 65.63 61.31 + 28.22 + 39.30 + 54.67 67.52 30.34 50.04 + 57.53 + 39.00 + 25.91 43.44 30 49.68 38.64 + 25.71 + 25.63 + 25.71 43.79 + 23.31 38.00 + 33.61 + 23.92 + 20.99 30.29 40 51.39 28.66 26.91 + 22.54 34.94 21.26 21.02 + 22.54 + 32.68 24.95 24.86 + 19.37 45 33.93 20.97 23.70 + 21.37 39.69 23.13 19.24 + 21.16 40.58 28.08 23.77 + 15.29 50 14.45 12.39 17.27 + 16.93 31.08 21.80 17.99 18.50 33.40 25.58 18.51 + 11.60 60 4.68 + 19.74 5.81 + 5.90 7.72 7.80 8.33 8.09 8.60 8.49 6.34 35.71 + 1.50 5 37.06 + 18.10 + 11.41 + 13.78 + 21.51 + 20.75 + 11.19 + 14.09 + 22.12 + 12.43 + 14.49 + 9.62 10 40.90 + 20.43 + 10.93 + 11.70 + 24.84 + 19.65 + 11.49 + 13.49 + 20.33 + 11.59 + 13.65 + 11.03 20 26.61 23.70 + 10.36 + 7.38 + 15.80 + 13.80 + 10.11 + 10.77 + 18.85 + 8.64 + 9.31 + 13.31 30 25.01 + 22.18 + 16.95 + 9.86 + 17.42 + 14.06 8.86 + 11.22 - 20.74 - 11.24 10.58 + 12.65 40 24.16 17.81 + 9.83 + 8.10 + 8.87 + 13.19 + 7.72 + 9.48 + 11.68 + 9.76 + 7.27 13.63 + 45 25.79 14.81 + 7.41 8.09 + 14.24 9.35 + 4.07 7.65 + 12.11 9.93 + 5.30 12.57 + 50 13.71 + 8.65 + 6.14 9.31 + 16.98 9.23 5.26 + 7.00 17.30 11.08 + 6.42 7.00 + 60 1.16 23.79 4.01 + 3.96 + 4.98 4.43 3.76 + 3.79 5.96 5.08 4.65 + 29.02 2.00 5 14.77 6.01 + 6.06 + 4.74 + 7.43 + 6.78 + 6.55 + 5.43 8.83 5.63 + 5.89 + 4.37 10 16.70 6.53 + 5.57 + 4.44 + 8.29 5.23 + 6.36 + 3.90 10.91 + 4.83 + 5.54 + 5.20 20 19.03 8.48 + 5.07 + 4.39 + 9.06 + 5.41 + 3.85 + 4.13 + 8.78 + 3.77 3.46 - 7.28 + 30 13.19 7.33 + 4.29 + 3.46 + 7.47 + 6.26 + 3.88 4.75 9.86 + 4.19 + 3.24 5.60 + 40 7.36 + 5.23 + 4.79 + 4.70 + 6.93 6.35 3.99 + 5.27 + 12.68 + 4.69 + 4.56 + 3.35 + 45 12.01 6.36 + 4.24 3.37 + 4.28 + 4.95 + 3.90 + 3.85 + 5.75 + 3.49 + 3.93 + 4.56 + 50 11.66 4.62 + 3.53 4.50 + 7.81 4.83 + 2.59 + 3.29 + 7.22 4.94 + 2.72 4.46 + 60 1.75 + 19.52 1.62 4.16 + 3.86 2.95 2.09 + 2.26 5.03 3.86 + 2.47 25.24
Claims (20)
Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US08/702,245 US5840406A (en) | 1994-09-28 | 1996-08-28 | Retroreflective prism structure with windows formed thereon |
US08/883,329 US6258443B1 (en) | 1994-09-28 | 1997-06-25 | Textured retroreflective prism structures and molds for forming same |
US08/980,885 US6206525B1 (en) | 1994-09-28 | 1997-12-01 | Miniature micro prism retroreflector |
US09/901,199 US6770225B2 (en) | 1994-09-28 | 2001-07-09 | Textured retroreflective prism structures and molds for forming same |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US08/314,487 US5565151A (en) | 1994-09-28 | 1994-09-28 | Retroreflective prism structure with windows formed thereon |
US08/702,245 US5840406A (en) | 1994-09-28 | 1996-08-28 | Retroreflective prism structure with windows formed thereon |
Related Parent Applications (3)
Application Number | Title | Priority Date | Filing Date |
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US08/314,487 Continuation-In-Part US5565151A (en) | 1994-09-28 | 1994-09-28 | Retroreflective prism structure with windows formed thereon |
US08/314,487 Division US5565151A (en) | 1994-09-28 | 1994-09-28 | Retroreflective prism structure with windows formed thereon |
US41086495A Continuation | 1994-09-28 | 1995-03-27 |
Related Child Applications (3)
Application Number | Title | Priority Date | Filing Date |
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US08/717,597 Continuation US5780140A (en) | 1994-09-28 | 1996-09-23 | Retroreflective microprismatic material with top face curvature and method of making same |
US76623896A Continuation-In-Part | 1994-09-28 | 1996-12-13 | |
US08/883,329 Continuation-In-Part US6258443B1 (en) | 1994-09-28 | 1997-06-25 | Textured retroreflective prism structures and molds for forming same |
Publications (1)
Publication Number | Publication Date |
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US5840406A true US5840406A (en) | 1998-11-24 |
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US08/314,487 Expired - Lifetime US5565151A (en) | 1994-09-28 | 1994-09-28 | Retroreflective prism structure with windows formed thereon |
US08/702,245 Expired - Lifetime US5840406A (en) | 1994-09-28 | 1996-08-28 | Retroreflective prism structure with windows formed thereon |
Family Applications Before (1)
Application Number | Title | Priority Date | Filing Date |
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US08/314,487 Expired - Lifetime US5565151A (en) | 1994-09-28 | 1994-09-28 | Retroreflective prism structure with windows formed thereon |
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